On The Double Integral Transform (Complex EE Transform) and Their Properties and Applications

Authors

Ahmad Issa Department of Mathematics, Faculty of Science, Karabuk University, Karabuk, Turkey. https://orcid.org/0000-0001-7495-3443
Emad A. Kuffi Department of Mathematics, College of Basic Education, Mustansiriyah University, Baghdad, Iraq.

DOI:

https://doi.org/10.30526/37.1.3329

Keywords:

Complex EE Transform, Double Complex EE Transform, partial differential equations

Abstract

Due to the importance of solutions of partial differential equations, linear, nonlinear, homogeneous, and non-homogeneous, in important life applications, including engineering applications, physics and astronomy, medical sciences, and life technology, and their importance in solutions to heat transfer equations, wave, Laplace equation, telegraph, etc. In this paper, a new double integral transform has been proposed.

In this work, we have introduced a new double transform ( Double Complex EE Transform ). In addition, we presented the convolution theorem and proved the properties of the proposed transform, which has an effective and useful role in dealing with the solution of two-dimensional partial differential equations. Moreover, two examples of important mathematical equations are solved to illustrate method. This double integral transformation has a complex kernel.

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